The low-field Zeeman splitting of the superhyperfine resonances associ
ated with the two lowest electronic states of the C4v centre of CaF2:H
o3+ are measured using RF bleaching of spectral holes. The magnitude o
f the splitting is consistent with an earlier determination of the enh
anced magnetic moments of the ground state levels. In addition, the nu
mber of observed superhyperfine Zeeman components indicates that there
is fast electron-electron spin flip relaxation between the two ground
electronic states.